to a man walking with a velocity of 3km/h due east the wind appears to blow north .but when he increases the speed to 7km/h due east the wind apeears to blow from north east .what is the actual velocity of the wind?

Answer 1

The "x" (east-west) component of the wind velocity is Vwind,x = +3 km/h (from west to east). There is also a north-directed component of the wind velocity, Vwind,y

When walking at 7 km/h East into a wind with +3 km/h component E, the relative air velocity components are Vwind,y, and 4 km/h (from the east).

To have an apparent SW direction (from NE), the component Vy must be -4 km/h.

The actual wind velocity is 3 km/h (from west towards east) and -4 km/h (from north towards south)